Journal of Statistical Physics, Vol. 108, Nos. 5/6, September 2002, p. 885-904.
For lattice systems under high temperatures T with compact or finite spin we construct three invariant subspaces of the transfer-matrix, which can be interpreted as the spaces of states for quasi-particles of two different species and the space of states for two particles of the first species. We formulate a condition on a priori distribution guaranteeing that the spectrum of the transfer-matrix on these subspaces are not overlapping.